In a bag, Bag C, the ratio of red counters to yellow counters is 3 : 4.
If 3 of the red counters are removed from Bag C, the ratio of red counters
to yellow counters is 3 : 5.

How many yellow counters are in Bag C?

Answers

Answer 1

Answer:

20

Step-by-step explanation:

The ratio of red : yellow is 3 : 4 = 3x : 4x ( x is a multiplier )

If 3 red counters are removed then

red : yellow = 3x - 3 : 4x = 3 : 5

Expressing in fractional form

[tex]\frac{3x-3}{4x}[/tex] = [tex]\frac{3}{5}[/tex] ( cross- multiply )

5(3x - 3) = 12x

15x - 15 = 12x ( subtract 12x from both sides )

3x - 15 = 0 ( add 15 to both sides )

3x = 15 ( divide both sides by 3 )

x = 5

Then

number of yellow counters = 4x = 4 × 5 = 20


Related Questions

I can’t tell if this is good or bad ;-; I did just skip some of the questions tho ngl...

Answers

Answer:

OoP

Step-by-step explanation:

HELP PLEASE ANSWER I"LL PICK BRAINLIEST

Answers

Answer:

194527.41792

Step-by-step explanation:

Volume for each rod: 1130.97336

Multiply the volume by 172:

1130.97336 x 172 = 194527.41792

And that's your answer

Solve for n.
4/44 = n/77
A. n = 4
B. n = 28
C. n = 264
D. n = 7

Answers

D. n=7

First: you would cross multiply and you should get 44n = 308. Then you would divide both sides by 44 and you should get n = 7.

work out the following,giving your answers in their simplest form:a)3/11 divide 3/11 b)9/10 divide 3/5

Answers

Answer:

Step-by-step explanation:

o

The answer to this question is A)1 b)3/2 or 1.5

Help me pls I’ll give brainliest pls dont answer if you don’t know

Answers

Answer:

x=2

Step-by-step explanation:

equation=carry over the -3x

1x-5=-3

1x=5+-3

x=2

:) Hope this helped!

stats. can someone help?

Answers

Answer:

you should try picto math it very helpful!

Step-by-step explanation:

ANSWER ASAPPP In​ 2000, the population of St. Louis was​ 346,904, and it decreased to​ 319,257 in 2010. If this population decrease were modeled by an exponential decay​ function, what value would represent the​ y-intercept? Explain your reasoning.

The​ y-intercept should be ________. This is the population for the ______(first/last( known year of data. The year ______________ acts as 0 on the graph of the exponential function.

Answers

Answer:

The​ y-intercept should be 346,904. This is the population for the first (first/last( known year of data. The year 2000 acts as 0 on the graph of the exponential function.

Step-by-step explanation:

I just did it on my homework and it said that my answer is right

Anakka is admiring a statue in Dover Park from 16 meters away. If the distance between the top of the statue to Anakka's head is 20 meters, then the statue is ___ meters taller than Anakka.
please help ASAP

Answers

Answer:

12 meters taller

Step-by-step explanation:

16 meters away, and the hypotenuse is 20 meters so

20^2=16^2-x^2

The diameter of a bicycle tire is 2 feet. If the wheel revolves 8,500 times, how far will Syed travel on the bicycle?

Answers

She would travel 17,000

Step-by-step explanation:

whats the distance given between (-4,1) and (2,0)​

Answers

Answer:

√37

Step-by-step explanation:

Is 10/6 and 50/30 proportional or not proportional

Answers

Answer:

proportional

Step-by-step explanation:

50/5=10

30/5=6

10/6

10/6 and 50/30 are Proportional

Jan rode to her friend's house with a constant speed of 14 m/hr. How long will she take to
travel the 15 miles there?

Answers

Answer:

1.07 hours

Step-by-step explanation:

14 miles = 1 hour

15 miles = x hours

Equal these two together

14 mi/1hr = 15 mi/xhr

Cross multiply

14 mi × x hr = 1 hr × 15 mi

I will stop using the units for now so it won't be as confusing

14x = 15

Divide both sides by 14 to isolate the variable

14x ÷ 14 = 15 ÷ 14

x = 1.07... hours


A car that traveled 50 miles in 2 hours had the same average speed as a
car that traveled 200 miles in 8 hours. Is this true or false?

Answers

Answer:

True

Step-by-step explanation:

[tex]\frac{200 miles}{8 hours} = \frac{100miles}{4hours} = \frac{50miles}{2hours}[/tex]

6. The total cost of materials to build the foam
pit is $1,285.20. What is the cost of materials
per square foot?

Answers

Answer:

Cost of Material per square foot = $1.7

Step-by-step explanation:

Given:

Length = 24

Width = 12

Height = 6.5

Find:

Cost of Material per square foot

Computation:

TSA of pit = 2[bh + hl] + lb

TSA of pit = 2[(12)(6.5) + (24)(6.5)] + (24)(12)

TSA of pit = 2[78+156] + 288

TSA of pit = 756 square foot

Cost of Material per square foot = 1,285.20 / 756

Cost of Material per square foot = $1.7

Which answer represents 81,020,000,000 in scientific notation?
OA)
9
81.02 X 10
W
ОВ)
10
8.102 x 10
OC)
9
8.102 x 10
OD)
11
0.8102 x 10

Answers

B. 8.102 x 10^10
Cuz 8.102 x 10 = 81,020,000,000

Answer:

The answer is: 8.102×10^10

A school chorus has 80 sixth-grade students and 66 seventh-grade students. The music director wants to make groups of performers with the same combination of sixth- and seventh- grade students in each group. She wants to form as many group as possible. If that many groups are formed, how many students of each grade level would be in each group?

Answers

Answer:

The music director can make 15 groups of performers with 6 sixth grade students and 5 seventh grade students in each group.

Step-by-step explanation:

A school chorus has 90 sixth-grade students and 75 seventh-grade students.

Factor these two numbers:

Find GCF(90,75):

Now,

Therefore, the music director can make 15 groups of performers with 6 sixth grade students and 5 seventh grade students in each group.

hope i helped!

Almonds cost $12 per 3 pounds. How many pounds can I buy with $20?

Answers

Answer:

6 pounds

Step-by-step explanation:

Answer:

5 pounds

Step-by-step explanation:

12 divided by 3 = 4

20 divided by 4 = 5

I need to know X for 8 and 10 if u feel like it. PLS

Answers

Answer:

8) x=9

10) 23 degrees

Step-by-step explanation:

8) vertical angles are congruent to each other so we can set the expressions as such and solve:

7x + 3 = 10x - 24

3 = 3x - 24

27 = 3x

9 = x

10) since the angles are complementary they equal 90 degrees, so we can set the expression like this and solve for x:

12x + 7 + 6x - 7 = 90

18x + 7 - 7 = 90

18x = 90

x = 5

now we plug it back into the expression equivalent to the measure of angle O:

6(5) -7

30 - 7

23 degrees

Jennifer scored 40 points in a game on Saturday. If she scored 50 points
on Sunday then what is the percent increase in the points Jennifer
scored?

Answers

Answer:

Step-by-step explanation:

.

Which method would be the best to solve the following system of equations?

Answers

Answer:

Graphing the equations and seeing where they intersect.  Use DEMOS Graphing Calculator off of the internet.  It works great.  I even use it to check my work when I use algebra

This method also works well with quadratics and lines

Step-by-step explanation:

Simplify the following question expression: -5.8c+4.2-3.1+1.4c

Answers

collect the like terms
-5.8c+4.2-3.1+1.4c
=-4.4c+1.1

-1.8c + 1.1

Hope this helps!

Which graph matches the function represented by the table?​

Answers

the correct answer is option 1

Peter has to spend $9000 on expenses each year. If that amount of money is 60% of his salary, then how much money does Peter make working as an administrator per year?

Answers

Answer:

Step-by-step explanation:

9000 is 60% of what number?

9000=0.6*X

9000/0.6=X

X=$15000

A parallelogram whose sides are all the same length

Answers

Answer:

a square

Step-by-step explanation:

a square is a parallelogram whose sides are all the same length

Answer:

square

Step-by-step explanation:

a square has 4 sides with all the same length

please help asap!
thank you

Answers

Answer:

x=20

Step-by-step explanation:

pentagon= 3 triangles could be made-> 3 x 180

total angle = 540

540= 5x+2+5x+10+4x+15+8x+8+3x+5

540=25x+40

500=25x

20=x

Answer:

x=20

Step-by-step explanation:

Giving brainliest if answered correctly!

At Bakersfield High School, each senior class purchases a monument in the shape of a triangular prism to display the names of the entire senior class. The dimensions of the monument are shown below.

What is the total surface area of the monument?

660 square inches
630 square inches
690 square inches
600 square inches

Answers

Answer:

hello! you didnt put the dimensions. i would love to help but i dont have the info. you can comment the infor below!

We want to factor the following expression:
(x - 1)2 + (x - 1) + 4
Which pattern can we use to factor the expression?
U and V are either constant integers or single-variable expressions.

Answers

Answer:

3x-3+4=3x+1

2x-2+x-1+4=

Please help!
The illustration below shows the graph of y as a function of x.
Complete the following sentences based on the graph of the function.
- As x increases, y _______ (increases/decreases).
- The rate of change for y as a function of x is not __________ (constant/constant), therefore the function is ________ (linear/nonlinear).
- For all values of x, the function value y ___ (≤/≥/=) 0.
- The y-intercept of the graph is the function value y = ____.
- When x = 1, the function value y = ___.

Answers

Answer:

As "x" increases "y" *decreases*

y as a function of x is not *constant*

Therefore the function is *nonlinear*

For all values of x, the function value y *≥* 0.

The y intercept of the graph is *8*

x=1 function value of y is *5*

Statistics help please!!!

I have no idea what to do!

Zoom in to see clearer!

Please don't answer just for points if you don't know it I really need help​

Answers

Answer:

see i have posted my pic

Step-by-step explanation:

please mark me as brainliest

what is the solution of the system of equations 2x-3y=-9 -x+3y=6

Answers

Answer:

the answer to the question is (6,10)

Step-by-step explanation:

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The area of the region between the lines y = x + 6, x = 1 and y = 0 is:A 49 units?B. 49/2 units squaredC.42 units squaredD. 21 units squared E.cannot be determined HELP ASAP PLEASE I WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER!Find the values of x and y. (1) Hawaiian native Bethany Hamilton loves to surf.(2) Most days youll find her in the ocean paddling out to the waves, trying to catch a big one. (3) There are lots of surfers in Hawaii, but you would probably if you saw her recognize Bethany. (4) Shes the surfer with only one arm.(5) At the age of 13, Bethany was surfing off the coast of Kauais north shore after she was suddenly attacked by a 14-foot-long tiger shark. (6) The shark took a 17-inch bite out of Bethanys surfboard. (7) It bit off most of Bethanys left arm. (8) A friends father was nearby, and he quickly tied a tight band around Bethanys upper arm to stop the bleeding. (9) Then Bethany was rushed to the hospital. 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(23) The only thing she hasnt been able to do is braid her own hair. (24) But Bethany dont waste any time thinking about what she cant do. (25) She is grateful for what she can do- and that includes surfing!Question 1 (1 point) What is the BEST way to revise sentence 3?Question 1 options:Since there are lots of surfers in Hawaii. 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